205023300 has 72 divisors (see below), whose sum is σ = 624439200. Its totient is φ = 51793920.

The previous prime is 205023277. The next prime is 205023307. The reversal of 205023300 is 3320502.

205023300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 205023300.

It is not an unprimeable number, because it can be changed into a prime (205023307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12285 + ... + 23684.

Almost surely, 2^205023300 is an apocalyptic number.

205023300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205023300 is an abundant number, since it is smaller than the sum of its proper divisors (419415900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205023300 is a wasteful number, since it uses less digits than its factorization.

205023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36005 (or 35998 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 205023300 is about 14318.6347114521. The cubic root of 205023300 is about 589.6591922381.

Adding to 205023300 its reverse (3320502), we get a palindrome (208343802).

The spelling of 205023300 in words is "two hundred five million, twenty-three thousand, three hundred".